Welcome! Lesson details for each day are described below. I will do my best to not only stay updated, but also provide extra links and resources for you to use and explore.

### Second Semester Schedule: PCSecondSemesterSchedule

# Chapter 6: **Analytic Trigonometry**

**Individual Test: ** 3/3 – A-days 3/5 – B-days

**Day 52:** February 20th/21st. **Objective: **Students will use sum and difference formulas to determine the exact value of a trigonometric expression. **Check out the slides that include reference triangles for help with homework:** PC6-5Lecture **YouTube Video:** Sum and Difference Formulas **Homework: Complete the PC6-5Practice BACK ** It’s the PC6-5B part on the back with the reference triangles.

**Day 51:** February 18th/19th. **Objective:** Students will use sum and difference formulas to determine the exact value of a trigonometric expression. Students will establish trigonometric identities. **Lecture 1 Slides:** PC6-4IdentitiesLecture **Lecture 2 Slides:** PC6-5Lecture **Class Practice:** PC6-5Practice **YouTube Video:** Sum and Difference Formulas **Homework:** Complete the PC6-5Practice front side only. If you get stuck, watch the sum and difference formula youtube video I linked above.

**Day 50:** February 13th/14th. **Objective: **Students will establish trigonometric identities. **YouTube Video #1:** Simplifying Trig Expressions **YouTube Video #2:** Trigonometry Proof **Notes:** PC6-4NotesCompletedExamples **Homework:** p. 496 #’s 9, 10, 11, 19, 25, 27, 29, 43, 44, 47.

**Day** 49: February 11th/12th. **Objective: **Students will solve trigonometric equations using identities. **Notes:** PC6-3Notes **YouTube Video:** Solving Trig Equations **Homework:** PC6-3PracticePart2

**Day 48:** February 7th/10th. **Objective: **Students will solve trigonometric equations. **Notes:** PC6-3Notes **YouTube Video:** Solving Trig Equations **Homework:** PC6-3Practice

**Day 47:** February 5th/6th. **Objective: **Students will solve trigonometric equations. **Notes:** PC6-3Notes **YouTube Video:** Solving Trig Equations **Homework:** p. 480 #’s 9, 10, 13, 14, 25, 26 and 27. ALSO p. 487 #’s 11, 12, 13, 26, 29, 57, 59, and 61.

**Day 46:** February 3rd/4th. **Objective: **Students will find exact values of inverse trigonometric functions. **Notes:** PC6-1Notes **Homework:** The front side of PC6-1Practice.

# Chapter 5: Trigonometric Functions

**Individual Test: ** 1/30 – A-days 1/31 – B-days

**Course Feedback for Semester 1: Course Evaluation Semester 1**

**Day 45: January 30th/31st. **Students will take an individual test. **Homework:** none.

**Day 44: January 28th/29th. ** Students will take a group test. **Homework:** Study for the individual test.

**Day 43: January 22nd/23rd/24th. **Objective: Students will write the equation of the sine or cosine function given a graph or description of the function.**Class Notes KEY: **PC5-5NotesKEY **Extra Review: ** PC-ExtraGraphtoEquationReview **Extra Review KEY:** PC-ExtraGraphtoEquationReviewKEY **Homework:** Chapter review: PC5-Review. **Key:** PC5-ReviewKEY

**Day 42: January 21st. **Objective: Students will peer-grade their daily quiz and provide course feedback. **Homework:** None. Good luck on your finals!

**Day 41:** **January 16th/17th. **Objective: Students will graph one cycle of sine and cosine functions. **YouTube Videos:** Graphing Basics and Graphing with transformations **Class Practice**: PC5-4GraphingThinking **Homework:** p. 431 #’s 11, 13, 16, 35, 39, 45, 48, 65,69.

**Day 40:** **January 14th/15th. **Objective: Students will memorize the unit circle. **PC5-3 Class Work KEY:** PC5-3Key **Don’t forget to memorize the unit circle: **Unit Circle Background **Homework:** p. 418 #’s 39, 45, 53, 55, 57, 77, 78, 80, 81, and 82.

**Day 39: January 10th/13th. **Objective: Students will draw reference triangles and determine which quadrant it is in. **Notes:** PC5-3Noteskey **Class Practice:** PC5-3Practice **Homework:** p. 417 #’s 11, 13, 17, 27, 29, 37, 41, 46, and 52.

**Day 38:** **January 8th/9th. **Objective: Students will find the value of the six trigonometric functions.**Notes: **PC5-2Notes **Class Work:** PC5-2Practice **Class Work Examples (#’s 2 and 3):** PC5-2ClassWorkExamplesHomework: p. 402 #’s 13, 15, 17, 21, 23, 25, 31, 35, 57, and 77.

**Day 37: January 6th/7th. **Objective: Students will convert between degrees and radians.**Notes: **PC5-1Notes1 PC5-1Notes2 Don’t forget to read section 5.1 in your book! It has lots of explanation on how to do the homework. **Homework:** p. 385 #’s 11, 14, 20, 22, 23, 25, 29, 30, 42, 43, 60, 65, 66, 71, 73, 79, 81, 95, and 96.

# First Semester Final Exam

### The final exam is broken up into two parts, given over two class periods. I will provide two different reviews as well as give details as to what to expect on each part of the test in class.

#### Part 1: December 13th (A-Days) December 16th (B-Days)

#### Part 2: December 17th (A-Days) December 18th (B-Days)

##### Review #1: math_111_final_exam_review (we will use selected problems from here)

##### Review #1 Key: math_111_final_exam_review_solutions

##### Review #2: PC1stSemFinalReview

##### Review #2 Key: PC1stSemFinalReviewKEY

Day 36: **December 17th/18th. **Objective: Students will prove their knowledge by completing part 2 of the semester final exam. **Homework:** Ensure all tests and corrections have been made before break.

Day 35: **December 13th/16th. **Objective: Students will prove their knowledge by completing part 1 of the semester final exam. **Homework: **Study for the final exam.

Day 34: **December 11th/12th. **Objective: Students will review for the final exam. **Homework:** Study **both** reviews to prepare for the final exam.

Day 33: **December 9th/10th. **Objective: Students will make revisions/corrections to their chapter test. **Homework:** Study for the upcoming final. Use the links above to access them.

# Chapter 4: **Exponential and Logarithmic Functions**

### Group Test: November 22nd (A-Day’s) December 2nd (B-Day’s)

### Individual Test: December 5th (A-Day’s) and December 6th(B-Day’s)

Day 32: **December 5th/6th. **Objective: Students will prove their knowledge by completing an individual test. **Homework:** Prepare for the 15 minute test corrections/revisions allotted for next class.

Day 31: **December 3rd/4th. **Objective: Students will review for a unit test. **Group Test/Quiz Key:** PC4-GroupQuizKEY **Review:** PC4-Review Review** Key: ** PC4-ReviewKEY **Homework: **Study for the individual test next class.

Day 30: **November 22nd/December 2nd. **Objective: Students will complete a group quiz. **Homework:** PC4-Review

Day 29: **November 20th/21st: **Objective: Students will complete application problems involving logistic growth models. **Homework:** PC4-7PracticeProblems

Day 28: **November 18th/19th. **Objective: Students will complete application problems involving uninhibited growth and decay. **Notes:** PC4-6bNotesKEY **Video on those half-life problems :** Exponential Decay **Homework:** PC4-6PracticeProblems

Day 27: **November 14th/15th. ** Objective: Students will solve exponential and logarithmic equations.**Class Notes: ** PC4-5ClassNotes **Homework:** PC4-5Homework

Day 26: **November 12th/13th. **Objective: Students will solve applied problems using exponential and logarithmic equations and properties. **Notes:** PC4-4Notes1Key and PC4-4Notes2Key **Homework:** PC4-4InterestPracticeProblems.

Day 25: **November 7th/8th **Objective: Students will find the inverse of a function. **Notes part 1:** PC4-3NotesKey **Notes part 2:** PC4-3NotesPart2(blank version) and PC4-3NotesandPracticeKEY **Homework: **page 279 #11. page 292 #’s 41, 65, 67, and 69. Note – problem 41 requires you to read the instructions on page 291. Use your notes from class to help complete that problem.

Day 24: **November 5th/6th **Objective: Students will perform operations on functions including compositions of functions. **Definition of e:** PC4-0NotesKEY**Notes:** PC4-2NotesKEY **Homework:** PC4-2Practice

### Quarter 1 Survey: Quarter 1 Survey Link

# Chapter 3: Polynomial and Rational Functions

**Test Date(s): October 31st (A-Day) and November 4th (B-Day)**

Day 23: **October 31st/November 4th. **Objective: Students will prove their knowledge by completing an individual test. **Homework: **PC4-0Homework

Day 22: **October 29th/30th. **Objective: Students will collaborate on a group test. **Homework: **Study for the individual test next class.

Day 21: **October 25th/28th. **Objective: Students will review unit material to prepare for a group test. **Review: **PC3-Review **Review Key:** PC3-ReviewKEY **Homework:** Complete the Review to prepare for a group test next class.

Day 20: **October 23rd/24th. **Objective: Students will write the equation of a rational function given the graph.**Class Practice:** PC3-7Practice **Homework: **PC3-7HomeworkSet

Day 19: **October 21st/22nd. **Objective: Students will find the equations of horizontal and oblique asymptotes given a rational equation. **Check my YouTube channel for videos on Rational Functions for extra help. ****Notes:** PC3-6NotesKey **Homework:** PC3-6Practice

Day 18: **October 17th/18th. **Objective: Students will find intercepts and vertical asymptotes of a rational function.** Notes: ** PC2-5NotesKey(part1)** and** PC2-5NotesKeyBack(part1) **Homework:** Complete the following worksheets: PC3-5Investigation** and** PC3-5Practice.

Day 17: **October 14th/15th. **Objective: Students will use Descartes Rule of Signs and the Rational Zeros Theorem to solve cubic equations. **Notes Key:** PC3-4NotesKEY **Helpful Videos:** Descartes Rule of Signs and Rational Roots Theorem **Homework:** page 224 #’s 21, 23, 25, 33, 35, and 37. Page 231 #’s 23 and #25.

Day 16: **October 9th/10th. **Objective: Students will write the equation of a polynomial in standard form given factors, roots, and points on the graph.**Class Practice: **We finished the problems from last class – PC3-2GroupChallenge. **Practice problems solutions:** PC3-2GroupChallengeKEY(3) and PC3-2GroupChallengeKEY(4)** Class Notes:** PC3-3NotesKEY **Homework:** On page 214, the Factor theorem is written. In your notebook, copy down the factor theorem and put a box around it. At the bottom of page 214 there is an example on using the factor theorem – use that to remind yourself of what to do. On page 223-224, complete problems 11, 12, and 20. On page 231, complete problems 7, 9, 11, 17, and 19. Make sure you are showing work on these problems 🙂

Day 15: **October 7th/8th. **Objective: Students will determine roots of a polynomial given a factor. **Class work:** PC3-2GroupChallenge **Group Challenge Keys:** PC3-2GroupChallengeKEY(1) and PC3-2GroupChallengeKEY(2) **Homework:** Complete this document: PC3-1Practice (If you were in class last week, you were handed a paper copy of it).

Day 14: **October 3rd/4th. **Objective: Students will identify polynomials and properties of polynomials. **Homework:** First identify where section 3.1 is in your notebook. Section 3.1 has notes on the practice problems. Here is the official assignment: On page(s) 208-209 complete problem #’s 15, 17, 19, 41, 43, 49, and 65.

# Chapter 1: Functions and Their Graphs (part 2)

### Test Date(s): October 1st (A-Day) and October 2nd (B-Day)

Day 13: **October 1st/2nd.** Objective: Students will complete a unit test on functions and their graphs. **Homework:** PC3-0

Day 12: **September 27th/30th. **Objective: Students will review unit objectives and complete a review document to study for an individual test next class. **Review:** PC1(part2) Review **Review Key:** PC1(part2) ReviewKEY **Homework: **Study for the the test! Review the review document, daily quizzes, homework problems, class work problems, and don’t forget to ask questions if you have them. *My Channel for Precalculus is available to you if you need a refresh on a concept! *

Day 11: **September 25th/26th. **Objective: Students will find the average rate of change between two numbers given a function. **Class Notes:** PC1-9DiffQNotesKey **Presentation:** Presentation – Start on slide 33. **Homework: ** page 55, #’s 77 and 78. Page 76 #’s 67, 68, and 69.

Day 10: **September 23rd/24th. **Objective: Students will perform transformations on functions and write coordinate rules for the transformation.**Class Practice:** PC1-7ClassPractice **Coordinate Rules Notes:** PC1-8NotesKey **Homework:** page 54 #’s 39 and 40 – only complete part (h) in those problems. Page 98 and 100, complete #’s 32,37 and 95.

Day 9: **September 19th/20th. **Objective: Students will perform transformations on functions. **Class Notes:** PC1-7NotesKEY**Class Practice:** PC1-7Investigation **Homework:** On page 86 complete #33, and # 41. On page 100 complete #94.

# Chapter 1: Functions and Their Graphs (part 1)

#### Test Date(s):

**A-Day Students: 9/17**

**B-Day Students: ****9/18**

Day 8: **September 17th/18th. **Objective: Students will prove their knowledge by completing a mid-chapter test. **Class Activity: **Take the test. Homework stamps were counted today (there were 6 possible stamps) **Homework:** Complete the PC1-6Practice document.

Day 7:** September 13th/16th. ** **Review for test:** PC1-Review(1). **Review Key:** PC1-Review(1)KEY As a reminder and a general rule for this class, simply completing the review is not sufficient to ensure 100% comprehension of concepts. All daily quizzes, homework, class work, and notes should all be reviewed in order to be fully prepared for a test. **Homework: **Study for the test next class! **Side-Note:** There are extra practice problems at the end of chapter 1. You can look there for supplemental work if you’d like more practice.

Day 6: **September 11th/12th. **Objective: Students will determine the intervals on which a graph is concave up or concave down. Students will identify local and absolute maxima and minima on a graph. **Class Practice: **PC1-5InvestigationNotes **Class Practice KEY:** PC1-5InvestigationNotesKEY **Notes:** PC1-5FormalNotes** ****Homework: PC1-5HomeworkSet**

Day 5: **September 9th/10th. **Objective: Students will determine whether a function is even, odd, or neither both algebraically and graphically. **Suggested Book Reading: **pages 66 and 67 **Class Notes:** PC1-4NotesKey **Homework:** pg. 61 # 9 AND pg. 75 #’s 33, 35, 38, 41, and 42.

Day 4: **September 5th/6th:** Objective: Students will use a graph to determine where a function is increasing, decreasing, or constant.** Recommended Book Reading:** Examine page 68 of your textbook for details and definitions on increasing/decreasing intervals.** Class Notes:** PC1-3Notes **Homework:** p. 74 #’s 21-25.

Day 3: **September 3rd/4th: **Objective: Students will find the domain of a function algebraically. **Notes:** PC1-2Notes **Class Practice:** PC1-2Assignment **KEY:** PCSection1.2KEY **Homework: ** Re-read pages 49-50. On Page 54: Complete #’s 40, 52, 53, 55, and 59. **Remind:** I’d like to use the Remind App this year. Here is a link to sign up: PreCalculus Remind

Day 2: **August 29th/30th. **Objective: Students will review Algebra 3-4 material in groups moving around the classroom. **Class Problem Set Solutions:** PC1-1StationsSolutions **Homework: **Read section 1.1 (pg. 43-53) to review. On page 53 and 54, complete problems 1,3,5,6,10, 15-20, and 39.** Remind:** I’d like to use the Remind App this year. Here is a link to sign up: PreCalculus Remind

Day 1: **August 28. **Objective: Students will familiarize themselves with class rules and routines as they analyze the learning objectives for the school year. **Class Power Point: First Day Intro** **Course Syllabus: PCSyllabus19-20 ****Homework:** Visit this website (if you are reading this, congratulations). Watch the first three videos on *My Channel for Precalculus . *Begin obtaining necessary course materials and see me if you need help.